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3 years ago

Which number sentence is always true?

Mathematics

2 answers:

Musya8 [376]3 years ago

7 0

Answer:

Statement B is always correct

Sati [7]3 years ago

6 0

Answer:

Step-by-step explanation:

It is not A because you can say 1 - 2 and those numbers are both positive and your answer for that would be -1 which is a negative number.

You know its B because say -7 + -7 which is -14 so any negative number plus any other negative number results would also be a negative number.

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What is the equation of the yellow line

katovenus [111]

Answer:

y = - $\frac{5}{3}$ x -2

Step-by-step explanation:

The line is going down to the right so it has the negative slope, with a y- intercept of (0, -2) and a slope of m = rise/run = -5/3

6 0

3 years ago

boxes of a whole wheat linguine are on sale this week for 30% off the original price. they cost $1.50 when they are not on sale.

allochka39001 [22]

30% of $1.50 is 0.45 and if it's on sale you subtract from original price
so 1.50 - 0.45
and your answer would be $1.05

4 0

3 years ago

A sociologist was investigating the ages of grandparents of high school students. From a random sample of 10 high school student

umka2103 [35]

Answer:

$(69.8-71.6) -2.101 \sqrt{\frac{8.38^2}{10} +\frac{6.65^2}{10}}= -8.908$

$(69.8-71.6) +2.101 \sqrt{\frac{8.38^2}{10} +\frac{6.65^2}{10}}= 5.308$

So then the confidence interval for the difference of means is given by:

$-8.908 \leq \mu_M -\mu_F \leq 5.308$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X_{M}= 69.8$ represent the mean for the age of grandmother

$\bar X_{F}= 71.6$ represent the mean for the age of grandfather

$s_{M}= 8.38$ represent the sample deviation for the age of grandmother

$s_{F}= 6.65$ represent the sample deviation for the age of grandfather

$n_M = n_F= 10$

Solution to the problem

For this case the confidence interval is given by:

$(\bar X_{M} -\bar X_F) \pm t_{\alpha/2} \sqrt{\frac{s^2_M}{n_M} +\frac{s^2_F}{n_F}}$

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n_M +n_F-2=10+10-2=18$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,18)".And we see that $t_{\alpha/2}=2.101$

And replacing we got:

$(69.8-71.6) -2.101 \sqrt{\frac{8.38^2}{10} +\frac{6.65^2}{10}}= -8.908$

$(69.8-71.6) +2.101 \sqrt{\frac{8.38^2}{10} +\frac{6.65^2}{10}}= 5.308$

So then the confidence interval for the difference of means is given by:

$-8.908 \leq \mu_M -\mu_F \leq 5.308$

5 0

3 years ago

Factor the expression 15x^2-16xy+4y^2

Zepler [3.9K]

(5x-2y)(3x-2y)

Dont give me anything give it to the other lad down there

6 0

3 years ago

Read 2 more answers

A rotation is a transformation where an object

prohojiy [21]

Rotation is a transformation where an object is rotated about a fixed point.

<h3>What is a transformation?</h3>

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

<em>Translation, reflection and rotation</em> are rigid transformations because they preserve the shape and size of the figure.

Rotation is a transformation where an object is rotated about a fixed point.

Find out more on transformation at: brainly.com/question/4289712

#SPJ1

8 0

2 years ago